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Finding the Fourth Proportional to 2,273.40, 3,410.10 and 2,151.90

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Solution

The fourth proportional to 2,273.40, 3,410.10 and 2,151.90 is: 3,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.40 : 3,410.10 = 2,151.90 : x
  2. Step 2: Convert to fraction form
    2,273.40/3,410.10 = 2,151.90/x
  3. Step 3: Cross multiply
    2,273.40x = 3,410.10 × 2,151.90
  4. Step 4: Simplify right side
    2,273.40x = 7,338,194.19
  5. Step 5: Solve for x
    x = 7,338,194.19/2,273.40
  6. Step 6: Final answer
    x = 3,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.